Emergent gravity from noncommutative gauge theory

Emergent gravity from noncommutative gauge theory
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非交换规范理论中的涌现引力

DOI：
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发表时间：
2007
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通讯作者：
H. Steinacker
H. Steinacker
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作者：
H. Steinacker

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我们证明了非对易U（n）规范理论的矩阵模型作用量实际上描述了耦合到引力的SU（n）规范理论。这是在四维情况下详细阐述的。SU（n）规范场以及附加标量场耦合到一个有效度规Gab，它由动力学泊松结构决定。突现引力与非对易性密切相关，编码那些通常被解释为U（1）规范场的自由度。这导致了一类包含引力波的物理自由度的度量，并允许恢复例如具有任意质量分布的牛顿极限。它还表明了一个一致的图片紫外/红外混合的诱导重力作用。这将为重力的量化提供一个合适的框架。
We show that the matrix-model action for noncommutative U(n) gauge theory actually describes SU(n) gauge theory coupled to gravity. This is elaborated in the 4-dimensional case. The SU(n) gauge fields as well as additional scalar fields couple to an effective metric Gab, which is determined by a dynamical Poisson structure. The emergent gravity is intimately related to noncommutativity, encoding those degrees of freedom which are usually interpreted as U(1) gauge fields. This leads to a class of metrics which contains the physical degrees of freedom of gravitational waves, and allows to recover e.g. the Newtonian limit with arbitrary mass distribution. It also suggests a consistent picture of UV/IR mixing in terms of an induced gravity action. This should provide a suitable framework for quantizing gravity.